Q. 263.5( 2 Votes )

A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance l from the cylinder holds one end of the string and pulls the cylinder towards him (figure 10-Q4). There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is



A. l

B. 2l

C. 3l

D. 4l

Answer :

The cylinder needs to reach the person i.e. To travel a total of distance L. Let us assume the radius to be r.


We know that the length of an arc is


Hence


So to cover the distance L it needs extra arc length of,




Hence it covers extra L length.


So, the total length will be ,2L.

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